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Finding the Fourth Proportional to 701.71, 967.93 and 452.64

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Solution

The fourth proportional to 701.71, 967.93 and 452.64 is: 624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.71 : 967.93 = 452.64 : x
  2. Step 2: Convert to fraction form
    701.71/967.93 = 452.64/x
  3. Step 3: Cross multiply
    701.71x = 967.93 × 452.64
  4. Step 4: Simplify right side
    701.71x = 438,123.84
  5. Step 5: Solve for x
    x = 438,123.84/701.71
  6. Step 6: Final answer
    x = 624.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.